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θ-Compactness in L-topological spaces

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  • Hanafy, I.M.

Abstract

Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum particle physics in connection with string theory and e∞ theory. In 2005, Caldas and Jafari have introduced θ-compact fuzzy topological spaces. In this paper, the concepts ofθ-compactness, countableθ-compactness and theθ-Lindelöf property are introduced and studied in L-topological spaces, where L is a complete de Morgan algebra. They are defined by means ofθ-openL-sets and their inequalities. They does not rely on the structure of basis lattice L and no distributivity in L is required. They can also be characterized byθ-closedL-sets and their inequalities. When L is a completely de Morgan algebra, their many characterizations are presented.

Suggested Citation

  • Hanafy, I.M., 2009. "θ-Compactness in L-topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3006-3012.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:3006-3012
    DOI: 10.1016/j.chaos.2009.04.042
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    References listed on IDEAS

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    1. Fu-Gui Shi, 2005. "Semicompactness in L -topological spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-10, January.
    2. Ekici, Erdal, 2006. "More on θ-compact fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1157-1161.
    3. Caldas, M. & Jafari, S., 2005. "θ-Compact fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 229-232.
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